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Analytical Solutions of the Navier-Stokes Model by He’s Polynomials

Edeki, S.O. and Akinlabi, G. O. and Adeosun, M. E. (2016) Analytical Solutions of the Navier-Stokes Model by He’s Polynomials. In: World Congress on Engineering, June 29 - July 1, 2016, London, U.K..

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Abstract

Navier-Stokes models are of great usefulness in physics and applied sciences. In this paper, He’s polynomials approach is implemented for obtaining approximate and exact solutions of the Navier-Stokes model. These solutions are calculated in the form of series with easily computable components. This technique is showed to be very effective, efficient and reliable because it gives the exact solution of the solved problems with less computational work, without neglecting the level of accuracy. We therefore, recommend the extension and application of this novel method for solving problems arising in other aspect of applied sciences. Numerical computations, and graphics done in this work, are through Maple 18.

Item Type: Conference or Workshop Item (Paper)
Uncontrolled Keywords: Analytical solutions; He’s polynomials; Navier-Stokes model.
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: Mrs Hannah Akinwumi
Date Deposited: 24 Jan 2017 10:23
Last Modified: 24 Jan 2017 10:23
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/7646

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